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Finding the Fourth Proportional to 257,987.82, 386,983.89 and 71,009.58

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Solution

The fourth proportional to 257,987.82, 386,983.89 and 71,009.58 is: 106,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,987.82 : 386,983.89 = 71,009.58 : x
  2. Step 2: Convert to fraction form
    257,987.82/386,983.89 = 71,009.58/x
  3. Step 3: Cross multiply
    257,987.82x = 386,983.89 × 71,009.58
  4. Step 4: Simplify right side
    257,987.82x = 27,479,563,495.67
  5. Step 5: Solve for x
    x = 27,479,563,495.67/257,987.82
  6. Step 6: Final answer
    x = 106,514.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.